•
|
|
|
|
College Football Ranking of Rankings SystemsDecember, 02, 2007 (126 Rankings)BCS Problem - from Absolute to Relative theory Kenneth Massey has made a remarkable thing - has collected about hundred ranking systems of College Football teams. And having assumed, that as behind everyone ranking authors stand and all of them are equal and are the experts as though armed with mathematics. And time so that is naturally simple to calculate certain average ranking, for example, by summing ranks of teams. As has truly noticed by Kenneth Massey models of an estimation of validity of ranks much. Probably as much how many models of ranks. More or less the general structure probably is fair. ESTIMATION of the MISTAKE = Here: IMPORTANCE of MISTAKE = ESTIMATION of
WINNER'S RANK + SIZE of MISTAKE = ESTIMATION of DEFEATED RANK - ESTIMATION of WINNER'S RANK It results in beautiful expression: ESTIMATION of MISTAKE = ESTIMATION of RANK DEFEATED ^ 2 - ESTIMATION of WINNER'S RANK ^ 2 For the elementary estimation of the RANK of participants was used RANK ESTIMATION = N - RANK However it is not only one of possible elementary arithmetic expressions.
Err gives us teams points of view. (The less number of errors - the better) WE presents fans points of view. (Errors in top of ranking list has lager weight)
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||